一种利用水平集函数计算稳定曲率的新方法

IF 5.3 Q1 ENGINEERING, MECHANICAL International Journal of Hydromechatronics Pub Date : 2023-01-01 DOI:10.1504/ijhm.2023.134339
M. Sellam, K. Kannan, S. Natarajan
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引用次数: 0

摘要

在模拟生物膜生长和两相流体流动等过程中,曲率的计算是一项重要任务,其中界面力在确定应力状态方面起着至关重要的作用。现有的计算界面曲率的方法不是很精确,并且表现出不必要的数值振荡。本文提出了一种精确计算界面平均曲率的新方法。与Bruchon方法相反,Bruchon方法只有一个稳定项可以使结果产生偏差,该方法包括一对抵消稳定项,可以消除任何此类偏差。本文还将该方法与其他现有技术进行了对比研究,以证明其优越的性能。最后一节还举例说明了所提出的曲率计算方法在管道流动问题中的应用。
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A new stabilised curvature computation method using the level set function
Computation of the curvature is an essential task during the simulation of processes such as bio-film growth and two-phase fluid flow wherein the interfacial forces play a crucial role in the determination of the state of stress. Existing methods for computing the curvature at the interface are not very accurate and exhibit unwanted numerical oscillations. In this work, a novel method is proposed to compute the mean curvature of the interface accurately. As opposed to Bruchon method which has only one stabilising term that can bias the results, the proposed method includes a pair of counteracting stabilising terms that remove any such bias. A comparative investigation of the proposed method with other existing techniques is also presented to demonstrate the superior performance. The paper also illustrates the application of the proposed curvature computation method for the flow through pipe problem in the last section.
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CiteScore
7.60
自引率
0.00%
发文量
32
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